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Finding the Third Proportional to 680,667.75 and 1,485,123.75

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Solution

The third proportional to 680,667.75 and 1,485,123.75 is: 3,240,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,667.75 : 1,485,123.75 = 1,485,123.75 : x
  2. Step 2: Convert to fraction form
    680,667.75/1,485,123.75 = 1,485,123.75/x
  3. Step 3: Cross multiply
    680,667.75x = 1,485,123.75 × 1,485,123.75
  4. Step 4: Simplify right side
    680,667.75x = 2,205,592,552,814.06
  5. Step 5: Solve for x
    x = 2,205,592,552,814.06/680,667.75
  6. Step 6: Final answer
    x = 3,240,336.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.